137305681 has 2 divisors, whose sum is σ = 137305682. Its totient is φ = 137305680.

The previous prime is 137305661. The next prime is 137305703. The reversal of 137305681 is 186503731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73960000 + 63345681 = 8600^2 + 7959^2 .

It is a cyclic number.

It is not a de Polignac number, because 137305681 - 2¹⁵ = 137272913 is a prime.

It is a super-2 number, since 2×137305681² = 37705700069747522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137305601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68652840 + 68652841.

It is an arithmetic number, because the mean of its divisors is an integer number (68652841).

Almost surely, 2^137305681 is an apocalyptic number.

It is an amenable number.

137305681 is a deficient number, since it is larger than the sum of its proper divisors (1).

137305681 is an equidigital number, since it uses as much as digits as its factorization.

137305681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 137305681 is about 11717.7506800580. The cubic root of 137305681 is about 515.8968017185.

The spelling of 137305681 in words is "one hundred thirty-seven million, three hundred five thousand, six hundred eighty-one".